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Python implements binary search (binary query)

大家讲道理
大家讲道理Original
2016-11-09 10:56:381070browse

Binary Query Algorithm

def BinarySearch(a, target): 
    low = 0
    high = len(a) - 1
    while low <= high:
#在其它语言中,如果low + high的和大于Integer的最大值,比如2 ** 31 - 1,
#计算便会发生溢出,使它成为一个负数,然后被2除时结果仍为负数。在Java语言中,
#这个Bug导致一个ArrayIndexOutOfBoundsException异常被抛出,而在C语言中,
#你会得到一个无法预测的越界的数组下标。推荐的解决方法是修改中间值的计算过程,
#方法之一是用减法而不是加法——来实现:mid = low + ((high - low) / 2);或者,
#如果你想炫耀一下自己掌握的移位运算的知识,可以使用更快的移位运算操作,
#在Python中是mid = (low + high) >> 1,Java中是int mid = (low + high) >>> 1。
        mid = (low + high) // 2
        midVal = a[mid]
 
        if midVal < target:
            low = mid + 1
        elif midVal > target:
            high = mid - 1
        else:
            return mid
    return -1
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